Rational generalised ball functions for convex interpolating curves
A curve interpolation scheme based on the generalised Ball basis functions which has been developed by the authors uses piecewise rational quintic generalised Ball functions to visualise scientific data. In fact, this scheme uses a rational generalised Ball with quartic numerator and linear denom...
| Main Authors: | , |
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| Format: | Article |
| Published: |
Penerbit ukm
2009
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| Online Access: | http://journalarticle.ukm.my/1915/ |
| _version_ | 1848809698203009024 |
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| author | Samsul Ariffin Abdul Karim, Abd Rahni Mt Piah, |
| author_facet | Samsul Ariffin Abdul Karim, Abd Rahni Mt Piah, |
| author_sort | Samsul Ariffin Abdul Karim, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | A curve interpolation scheme based on the generalised Ball basis functions which has been
developed by the authors uses piecewise rational quintic generalised Ball functions to
visualise scientific data. In fact, this scheme uses a rational generalised Ball with quartic
numerator and linear denominator, which involves shape parameters. In this paper, we discuss
an interpolation problem for convex data. The two parameters, in the description of the
rational interpolant, have been constrained to preserve the shape of the data. We examine the
convexity-preserving properties of this rational interpolant to a given data set. Based on the
analysis, the degree of smoothness attained is C1. Some numerical results are presented |
| first_indexed | 2025-11-14T23:18:45Z |
| format | Article |
| id | ukm-1915 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T23:18:45Z |
| publishDate | 2009 |
| publisher | Penerbit ukm |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ukm-19152011-06-20T02:55:36Z http://journalarticle.ukm.my/1915/ Rational generalised ball functions for convex interpolating curves Samsul Ariffin Abdul Karim, Abd Rahni Mt Piah, A curve interpolation scheme based on the generalised Ball basis functions which has been developed by the authors uses piecewise rational quintic generalised Ball functions to visualise scientific data. In fact, this scheme uses a rational generalised Ball with quartic numerator and linear denominator, which involves shape parameters. In this paper, we discuss an interpolation problem for convex data. The two parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. We examine the convexity-preserving properties of this rational interpolant to a given data set. Based on the analysis, the degree of smoothness attained is C1. Some numerical results are presented Penerbit ukm 2009-07 Article PeerReviewed Samsul Ariffin Abdul Karim, and Abd Rahni Mt Piah, (2009) Rational generalised ball functions for convex interpolating curves. Journal of Quality Measurement and Analysis, 5 (1). pp. 65-74. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
| spellingShingle | Samsul Ariffin Abdul Karim, Abd Rahni Mt Piah, Rational generalised ball functions for convex interpolating curves |
| title | Rational generalised ball functions for convex
interpolating curves
|
| title_full | Rational generalised ball functions for convex
interpolating curves
|
| title_fullStr | Rational generalised ball functions for convex
interpolating curves
|
| title_full_unstemmed | Rational generalised ball functions for convex
interpolating curves
|
| title_short | Rational generalised ball functions for convex
interpolating curves
|
| title_sort | rational generalised ball functions for convex
interpolating curves |
| url | http://journalarticle.ukm.my/1915/ http://journalarticle.ukm.my/1915/ |